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Finding the Fourth Proportional to 10,004.45, 13,808.05 and 5,758.31

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Solution

The fourth proportional to 10,004.45, 13,808.05 and 5,758.31 is: 7,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.45 : 13,808.05 = 5,758.31 : x
  2. Step 2: Convert to fraction form
    10,004.45/13,808.05 = 5,758.31/x
  3. Step 3: Cross multiply
    10,004.45x = 13,808.05 × 5,758.31
  4. Step 4: Simplify right side
    10,004.45x = 79,511,052.52
  5. Step 5: Solve for x
    x = 79,511,052.52/10,004.45
  6. Step 6: Final answer
    x = 7,947.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.